Timeline for Smoothness of the exponential map at the origin
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 23, 2016 at 15:00 | vote | accept | Julien Bernard | ||
| S Aug 7, 2014 at 12:48 | history | suggested | Jaap Eldering | CC BY-SA 3.0 |
TeX-ify question
|
| Aug 7, 2014 at 12:46 | review | Suggested edits | |||
| S Aug 7, 2014 at 12:48 | |||||
| Aug 6, 2014 at 15:44 | answer | added | Jaap Eldering | timeline score: 6 | |
| Aug 6, 2014 at 15:26 | comment | added | Julien Bernard | I think that the usual argument for smooth dependence on initial conditions does not work at zero just because the notion of a geodesic with the zero vector as initial tangent vector has no meaning. It is not a legitimate initial condition for the equation of geodesics. | |
| Aug 6, 2014 at 15:10 | comment | added | GH from MO | Please use TeX on this site. | |
| Aug 6, 2014 at 14:42 | comment | added | Thomas Rot | Why doesn't the normal argument for smooth dependence on initial conditions work at zero? | |
| Aug 6, 2014 at 14:22 | comment | added | Julien Bernard | If I am right, concerning the differentiability properties of the exponential map, Gauss'lemma tells you only that the exponential map has first order derivatives at the origine(that is: the identity), but it tells you nothing about high order derivatives. | |
| Aug 6, 2014 at 13:48 | comment | added | Thomas Rot | Yes it is, and there is more: en.wikipedia.org/wiki/Gauss's_lemma_(Riemannian_geometry) | |
| Aug 6, 2014 at 13:17 | review | First posts | |||
| Aug 6, 2014 at 13:34 | |||||
| Aug 6, 2014 at 13:17 | history | asked | Julien Bernard | CC BY-SA 3.0 |